To add to this, I have a Ph.D. in applied mathematics. I am also an accomplished researcher, albeit retired. I make more mistakes by 09:00 than most people wil

To add to this, I have a Ph.D. in applied mathematics. I am also an accomplished researcher, albeit retired. I make more mistakes by 09:00 than most people will make all day. Hell, my girlfriend would suggest that we can move that time forward a couple of hours.